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Finding the Fourth Proportional to 1,277.28, 1,916.13 and 628.08

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Solution

The fourth proportional to 1,277.28, 1,916.13 and 628.08 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.28 : 1,916.13 = 628.08 : x
  2. Step 2: Convert to fraction form
    1,277.28/1,916.13 = 628.08/x
  3. Step 3: Cross multiply
    1,277.28x = 1,916.13 × 628.08
  4. Step 4: Simplify right side
    1,277.28x = 1,203,482.93
  5. Step 5: Solve for x
    x = 1,203,482.93/1,277.28
  6. Step 6: Final answer
    x = 942.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.